444320240120 has 64 divisors (see below), whose sum is σ = 1024593546240. Its totient is φ = 173319350400.

The previous prime is 444320240113. The next prime is 444320240129. The reversal of 444320240120 is 21042023444.

It is a happy number.

It is a super-3 number, since 3×444320240120³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 444320240120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444320240129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 880625 + ... + 1290015.

It is an arithmetic number, because the mean of its divisors is an integer number (16009274160).

Almost surely, 2^444320240120 is an apocalyptic number.

444320240120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444320240120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512296773120).

444320240120 is an abundant number, since it is smaller than the sum of its proper divisors (580273306120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

444320240120 is a wasteful number, since it uses less digits than its factorization.

444320240120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410076 (or 410072 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 444320240120 its reverse (21042023444), we get a palindrome (465362263564).

The spelling of 444320240120 in words is "four hundred forty-four billion, three hundred twenty million, two hundred forty thousand, one hundred twenty".